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Finding the Fourth Proportional to 13,718.09, 18,931.07 and 7,430.51

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Solution

The fourth proportional to 13,718.09, 18,931.07 and 7,430.51 is: 10,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.09 : 18,931.07 = 7,430.51 : x
  2. Step 2: Convert to fraction form
    13,718.09/18,931.07 = 7,430.51/x
  3. Step 3: Cross multiply
    13,718.09x = 18,931.07 × 7,430.51
  4. Step 4: Simplify right side
    13,718.09x = 140,667,504.95
  5. Step 5: Solve for x
    x = 140,667,504.95/13,718.09
  6. Step 6: Final answer
    x = 10,254.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.